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628552704 = 21031315739
BaseRepresentation
bin100101011101101…
…111010000000000
31121210201210012210
4211131233100000
52241402141304
6142212022120
721401416113
oct4535572000
91553653183
10628552704
112a288aa4a
12156601940
13a02b4ba0
145d69a57a
153a2acc89
hex2576f400

628552704 has 88 divisors (see below), whose sum is σ = 1804307680. Its totient is φ = 193388544.

The previous prime is 628552693. The next prime is 628552709. The reversal of 628552704 is 407255826.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628552709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32067 + ... + 47805.

Almost surely, 2628552704 is an apocalyptic number.

628552704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902153840).

628552704 is an abundant number, since it is smaller than the sum of its proper divisors (1175754976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628552704 is a wasteful number, since it uses less digits than its factorization.

628552704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775 (or 15757 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 628552704 is about 25070.9533923224. The cubic root of 628552704 is about 856.6049236758.

The spelling of 628552704 in words is "six hundred twenty-eight million, five hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 15739 19968 31478 39936 47217 62956 94434 125912 188868 204607 251824 377736 409214 503648 613821 755472 818428 1007296 1227642 1510944 1636856 2014592 2455284 3021888 3273712 4029184 4910568 6043776 6547424 8058368 9821136 12087552 13094848 16116736 19642272 24175104 26189696 39284544 48350208 52379392 78569088 104758784 157138176 209517568 314276352 628552704